Advanced Many-body Physics: From weakly to strongly interacting Fermi systems

Advanced course given by Massimo Capone, Michele Fabrizio

Term: 2

Start: 08-01-2018 End: 29-03-2018 Room: 131

Credits: 4

Schedule: Mon 11:00 - 13:00, Thu 11:00 - 13:00

Program

The course will explore the effect of interactions in a fermionic system, with a particular emphasis on lattice models (Hubbard models and related). 

The main topics will be

- The phase diagram of the Hubbard model: reminder of the antiferromagnetic properties

- a short review of the Landau theory of normal Fermi liquids

- The Gutzwiller approximation

- Slave Particles: Slave Bosons and the Brinkman-Rice transition

- Slave Spins

- (maybe) Hubbard I and III approximations

- Dynamical Mean-Field Theory: The method

- Mott transition in Dynamical Mean-Field Theory